So can the XP1 capture no motion whatsoever?

For instance, I'm reading reviews that indicate that folks are finding it difficult to capture people walking. Surely that would be within the bounds of AF capability? I'd be baffled if an engineering firm had a technical profile where this wouldn't be the minimum acceptable criterion for AF speed. Basic motions of life like people pointing, nodding, gesturing....can the AF cope with this kind of activity?

I'm still going between the XP1 and the OM-D and the IQ of the XP1 is just so hard to ignore. I'm trying to understand what kind of motions this camera is capable of with the 35mm and 60mm lens in 'normal' and low-light scenarios as this will be my only camera.